Highest Common Factor of 622, 3859, 2382 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 622, 3859, 2382 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 622, 3859, 2382 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 622, 3859, 2382 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 622, 3859, 2382 is 1.

HCF(622, 3859, 2382) = 1

HCF of 622, 3859, 2382 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 622, 3859, 2382 is 1.

Highest Common Factor of 622,3859,2382 using Euclid's algorithm

Highest Common Factor of 622,3859,2382 is 1

Step 1: Since 3859 > 622, we apply the division lemma to 3859 and 622, to get

3859 = 622 x 6 + 127

Step 2: Since the reminder 622 ≠ 0, we apply division lemma to 127 and 622, to get

622 = 127 x 4 + 114

Step 3: We consider the new divisor 127 and the new remainder 114, and apply the division lemma to get

127 = 114 x 1 + 13

We consider the new divisor 114 and the new remainder 13,and apply the division lemma to get

114 = 13 x 8 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 622 and 3859 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(114,13) = HCF(127,114) = HCF(622,127) = HCF(3859,622) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 2382 > 1, we apply the division lemma to 2382 and 1, to get

2382 = 1 x 2382 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2382 is 1

Notice that 1 = HCF(2382,1) .

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Frequently Asked Questions on HCF of 622, 3859, 2382 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 622, 3859, 2382?

Answer: HCF of 622, 3859, 2382 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 622, 3859, 2382 using Euclid's Algorithm?

Answer: For arbitrary numbers 622, 3859, 2382 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.